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Finding the Third Proportional to 102,890,224,269 and 222,877,619,671.50

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Solution

The third proportional to 102,890,224,269 and 222,877,619,671.50 is: 482,790,602,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,890,224,269 : 222,877,619,671.50 = 222,877,619,671.50 : x
  2. Step 2: Convert to fraction form
    102,890,224,269/222,877,619,671.50 = 222,877,619,671.50/x
  3. Step 3: Cross multiply
    102,890,224,269x = 222,877,619,671.50 × 222,877,619,671.50
  4. Step 4: Simplify right side
    102,890,224,269x = 49,674,433,350,433,803,075,584
  5. Step 5: Solve for x
    x = 49,674,433,350,433,803,075,584/102,890,224,269
  6. Step 6: Final answer
    x = 482,790,602,346.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.